What is the Least Common Multiple of 13790 and 13795?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 13790 and 13795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13790 and 13795, than apply into the LCM equation.

GCF(13790,13795) = 5
LCM(13790,13795) = ( 13790 × 13795) / 5
LCM(13790,13795) = 190233050 / 5
LCM(13790,13795) = 38046610

Least Common Multiple (LCM) of 13790 and 13795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13790 and 13795. First we will calculate the prime factors of 13790 and 13795.

Prime Factorization of 13790

Prime Factorization of 13795

Now multiplying the highest exponent prime factors to calculate the LCM of 13790 and 13795.

LCM(13790,13795) = 2¹ × 5¹ × 7¹ × 197¹ × 31¹ × 89¹
LCM(13790,13795) = 38046610